In Read & Write the Simplified Ratio for the Following

Name Grade School
Date Questions10 Score

1
Zachary’s monthly income is $990 and him savings is $270. Find savings to expenses ratio.
2
Out of 110 students in a class, 20 are boys. Find boys to girls ratio.
3
Length and breadth of a rectangular field are 140 feet and 42 feet respectively. Find the ratio of length to breadth of the field.
4
Out of 171 students in a class, 9 prefer football, 81 prefer baseball and remaining like tennis. Find the ratio of number of students who prefer football to number of students who prefer tennis.
5
There are 120 teachers in a school of 2175 students. Find number of teachers to number of students ratio.
6
In a city of 8000 people, 2860 are government employees and the remaining are self-employed. Find government employees to self-employed ratio.
7
Jacob’s monthly income is $765 and him savings is $255. Find savings to expenses ratio.
8
Out of 168 students in a class, 42 are boys. Find boys to girls ratio.
9
Length and breadth of a rectangular field are 144 feet and 36 feet respectively. Find the ratio of length to breadth of the field.
10
Out of 78 students in a class, 12 prefer football, 48 prefer baseball and remaining like tennis. Find the ratio of number of students who prefer football to number of students who prefer tennis.

Answers Key
Show All Workout
1
Zachary’s monthly income is $990 and him savings is $270. Find savings to expenses ratio.
Savings to expenses ratio is 3:8
Solution
Zachary's Income = $990
Savings = $270
Expenses = 990 - 270 = 720
∴ savings to expenses ratio = 270:720 = 3:8
2
Out of 110 students in a class, 20 are boys. Find boys to girls ratio.
Boys to girls ratio is 2:9
Solution
Total Number of students = 110
boys = 20
girls = 110 - 20 = 90
∴ Boys to girls ratio = 20:90 = 2:9
3
Length and breadth of a rectangular field are 140 feet and 42 feet respectively. Find the ratio of length to breadth of the field.
Length to breadth ratio is 10:3
Solution
Length of a rectangular field = 140
breadth of a rectangular field = 42
∴ Length to breadth ratio = 140:42 = 10:3
4
Out of 171 students in a class, 9 prefer football, 81 prefer baseball and remaining like tennis. Find the ratio of number of students who prefer football to number of students who prefer tennis.
Number of students who prefer football to number of students who prefer tennis ratio is 1:9
Solution
Total Number of students = 171
Number of students prefer football = 9
Number of students prefer baseball = 81
Number of students prefer tennis =171 - (9 + 81) = 81
∴ Number of students who prefer football to number of students who prefer tennis ratio = 9:81 = 1:9
5
There are 120 teachers in a school of 2175 students. Find number of teachers to number of students ratio.
number of teachers to number of students ratio is 8:145
Solution
Total Number of teachers = 120
Total Number of students = 2175
∴ Number of teachers to number of students ratio = 120:2175 = 8:145
6
In a city of 8000 people, 2860 are government employees and the remaining are self-employed. Find government employees to self-employed ratio.
Government employees to self-employed ratio is 143:257
Solution
Number of people in the city = $8000
Number of Government employees = $2860
Self employed = 8000 - 2860 = 5140
∴ Government employees to self-employed ratio = 2860:5140 = 143:257
7
Jacob’s monthly income is $765 and him savings is $255. Find savings to expenses ratio.
Savings to expenses ratio is 1:2
Solution
Jacob's Income = $765
Savings = $255
Expenses = 765 - 255 = 510
∴ savings to expenses ratio = 255:510 = 1:2
8
Out of 168 students in a class, 42 are boys. Find boys to girls ratio.
Boys to girls ratio is 1:3
Solution
Total Number of students = 168
boys = 42
girls = 168 - 42 = 126
∴ Boys to girls ratio = 42:126 = 1:3
9
Length and breadth of a rectangular field are 144 feet and 36 feet respectively. Find the ratio of length to breadth of the field.
Length to breadth ratio is 4:1
Solution
Length of a rectangular field = 144
breadth of a rectangular field = 36
∴ Length to breadth ratio = 144:36 = 4:1
10
Out of 78 students in a class, 12 prefer football, 48 prefer baseball and remaining like tennis. Find the ratio of number of students who prefer football to number of students who prefer tennis.
Number of students who prefer football to number of students who prefer tennis ratio is 2:3
Solution
Total Number of students = 78
Number of students prefer football = 12
Number of students prefer baseball = 48
Number of students prefer tennis =78 - (12 + 48) = 18
∴ Number of students who prefer football to number of students who prefer tennis ratio = 12:18 = 2:3

Read the Following & Simplify Ratios Worksheet

Simplifying ratios (word problems) worksheet with answers for 6th grade math curriculum is available online for free in printable and downloadable (pdf & image) format. Tap on PRINT, PDF or IMAGE button to print or download this grade-6 ratio & proportion worksheet to practice how to write the ratios for the following statements.

How to Use this Worksheet

In this sixth grade ratio & proportion worksheet, students are required to read the word problems and write the simplified (equivalent) ratio. Use the data in the sentence, find the antecedent and consequent of the ratio and write in the reduced form.

Answers Key

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